ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

The set of all positive even integers is

• Not a group A
• A group w.r.t subtraction B
• A group w.r.t division C
• A group w.r.t multiplication D

The set of first elements of the ordered pairs in a relation is called its

• domain A
• range B
• relation C
• function D

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

A - B = ______

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

• -x A
• Infinite set B
• {-4, 4} C
• None of these D

The set R is ______ w.r.t subtraction

• Not a group A
• A group B
• No conclusion drawn C
• Non commutative group D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D

The extraction of cube root of a given number is a

• Unary Operation A
• Binary Operation B
• Relation C
• None of these D

• A A
• B B
• U C
• None of these D

The set of natural is a semi group w.r.t

• Addition A
• Division B
• Subtraction C
• None of these D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

• 
  A
• 
  B
• 
  C
• None of these D

The set of the first elements of the orders pairs forming a relation is called its

• Relation in B A
• Range B
• Domain C
• Relation In A D

The multiplicative inverse of x such that x = 0 is

• -x A
• does not exist B
• 1/x C
• 0 D

The statement that a group can have more than one identity elements is

• True A
• False B
• Fallacious C
• Some times true D

For a set A, A∪Ac= ---------------------

• A A
• ∅ B
• Ac C
• U D

(A∪B)∪C= --------------------------

• A∩B(B∪C) A
• A∪(B∪C) B
• A∪(B∩C) C
• None of these D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

The set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse D

A set having only one element is called

• An empty set A
• Universal set B
• A singleton set C
• A power set D

• 
  A
• 
  B
• 
  C
• None of these D

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

If A and B are two sets then any subset R of A x B is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

• square root function A
• identity function B
• linear function C
• quadratic function D

The graph of a linear function is

• a circle A
• triangle B
• a straight line C
• none of these D

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

If the intersection of two sets is non-empty, but either is a subset of other are called

• Disjoint sets A
• Over lapping B
• Equal sets C
• None of these D